Question

Difference in length of an arc and its subtended chord on earth's surface for a distance of 18.2 km is

Answer 1

Answer:

negligible difference

Step-by-step explanation:

Difference in length of an arc and its subtended chord on earth's surface for a distance of 18.2 km is

Radius of Earth = 6400 km

earth's surface will be arc

arc length = 18.2 km

Angle = x which make this arc

(x/360)* 2 * (pie) * R = 18.2

=> x = (18.2 * 180) / (pie * 6400)

=> x = 0.163°

Chord will make an isosceles Triangle where

equal sides = radius = 6400 km

unequal angle = 0.163°

two equal angles = (180 - 0.163) /2 = 89.9185°

Equal side / Sin(equalAngle) = UnequalSide/Sin(unequalAngle)

Radius/Sin 89.9185°  = Chord/ Sin0.163°

=> 6400/0.999999 - Chord/0.00285

=> Chord ≈ 18.2 km

there will be negligible difference in length of arc & its chord.

Answer 2

Answer:

Step-by-step explanation:

10cm